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Finding the Third Proportional to 648,846 and 867,924

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Solution

The third proportional to 648,846 and 867,924 is: 1,160,972.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,846 : 867,924 = 867,924 : x
  2. Step 2: Convert to fraction form
    648,846/867,924 = 867,924/x
  3. Step 3: Cross multiply
    648,846x = 867,924 × 867,924
  4. Step 4: Simplify right side
    648,846x = 753,292,069,776
  5. Step 5: Solve for x
    x = 753,292,069,776/648,846
  6. Step 6: Final answer
    x = 1,160,972.05

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.